Exact solutions of the Schrodinger equation with non-central potential by the Nikiforov-Uvarov method


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YASUK F., BERKDEMIR C., Berkdemir A.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.38, ss.6579-6586, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 38 Konu: 29
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1088/0305-4470/38/29/012
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayıları: ss.6579-6586

Özet

The general solutions of the Schrodinger equation for a non-central potential are obtained by using the Nikiforov-Uvarov method. The Schrodinger equation with general non-central potential is separated into radial and angular parts, and energy eigenvalues and eigenfunctions are derived analytically. By making special selections, the non-central potential is reduced to Coulomb and Hartmann ring-shaped potentials, and the obtained results are compared with the solutions of Coulomb and Hartmann potentials given in the literature.